3 papers
math.AT2024
Digital Manifolds With Or Without Boundaries
Melih İs, İsmet Karaca
This work aims to define the concept of manifold, which has a very important place in the topology, on digital images. So, a general perspective is provided for two and three-dimen…
math.AT2024
homotopic Distances in Digital Images
Melih İs, İsmet Karaca
We define digital homotopic distance and its higher version. We also mention related notions such as category in the sense of Lusternik-Schnirelmann and complexity in t…
math.AT2022
Different Types of Topological Complexity on Higher Homotopic Distance
Melih İs, İsmet Karaca
We first study the higher version of the relative topological complexity by using the homotopic distance. We also introduced the generalized version of the relative topological com…